Search a number
-
+
794682768 = 2431131471033
BaseRepresentation
bin101111010111011…
…110010110010000
32001101100001211010
4233113132112100
53111414322033
6210504450520
725456456245
oct5727362620
92041301733
10794682768
11378639a20
121a2179a40
13c88408b9
14777835cc
1549b76863
hex2f5de590

794682768 has 160 divisors (see below), whose sum is σ = 2363277312. Its totient is φ = 227865600.

The previous prime is 794682751. The next prime is 794682769. The reversal of 794682768 is 867286497.

It is a super-2 number, since 2×7946827682 = 1263041403512283648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (794682769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 768780 + ... + 769812.

Almost surely, 2794682768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 794682768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181638656).

794682768 is an abundant number, since it is smaller than the sum of its proper divisors (1568594544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

794682768 is a wasteful number, since it uses less digits than its factorization.

794682768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1127 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 57.

The square root of 794682768 is about 28190.1182686416. The cubic root of 794682768 is about 926.2564927852.

The spelling of 794682768 in words is "seven hundred ninety-four million, six hundred eighty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 47 48 62 66 88 93 94 124 132 141 176 186 188 248 264 282 341 372 376 496 517 528 564 682 744 752 1023 1033 1034 1128 1364 1457 1488 1551 2046 2066 2068 2256 2728 2914 3099 3102 4092 4132 4136 4371 5456 5828 6198 6204 8184 8264 8272 8742 11363 11656 12396 12408 16027 16368 16528 17484 22726 23312 24792 24816 32023 32054 34089 34968 45452 48081 48551 49584 64046 64108 68178 69936 90904 96069 96162 97102 128092 128216 136356 145653 181808 192138 192324 194204 256184 256432 272712 291306 352253 384276 384648 388408 512368 534061 545424 582612 704506 768552 769296 776816 1056759 1068122 1165224 1409012 1505081 1537104 1602183 2113518 2136244 2330448 2818024 3010162 3204366 4227036 4272488 4515243 5636048 6020324 6408732 8454072 8544976 9030486 12040648 12817464 16555891 16908144 18060972 24081296 25634928 33111782 36121944 49667673 66223564 72243888 99335346 132447128 198670692 264894256 397341384 794682768